In recent years, there has been considerable interests in quantum information technologies including quantum computing.
In order to realize these technologies, it is necessary to prepare a desired quantum state for an information resource.
Thus, an accurate technique for manipulating qubits and preparing the desired target state plays an important role [1]}.
In particular, it is of great importance to design and implement an ideal dynamics in the closed system.
For example, quantum annealing or quantum adiabatic computation are modeled by closed quantum dynamics such as the Schr\({\rm \ddot{o}}\) dinger equation.
Therefore, the control method for designing the control setup configured by the control Hamiltonian and the control input
so as to steer the state into the target, e.g., open-loop control [2]}, [3]}, [4]}, [5]},
offers powerful means.
